TITLE

Collections of Darboux-like, Baire one functions of two variables

AUTHOR(S)
Evans, Michael J.; Humke, Paul D.
PUB. DATE
August 2010
SOURCE
Journal of Applied Analysis;2010, Vol. 16 Issue 1, p135
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
No abstract available.
ACCESSION #
98124595

 

Related Articles

  • Local Baire classification of Lyapunov exponents. Bykov, V. // Journal of Mathematical Sciences;Jun2007, Vol. 143 Issue 4, p3217 

    One considers two different definitions of the Baire class of a functional at a point. These definitions are in agreement with the common definition of the Baire class. The semicontinuity of a functional at a point is associated with its inclusion into the first Baire class at that point in the...

  • RECENT ADVANCES AND OPEN PROBLEMS IN FIRST-RETURN ANALYSIS. Evans, Michael J.; Humke, Paul D.; Shelton Jr., James D. // Real Analysis Exchange;June2005 Conference, p45 

    Presents two-dimensional analogs of the one-dimensional analogs of first-return continuity with function of Baire class one and analogous to the Darboux property. Candidates for the analog functions; Real-valued functions defined on the n-dimensional cube; Theorems explaining the Baire class.

  • DARBOUX-LIKE FUNCTIONS WITHIN THE CLASS OF HAMEL FUNCTIONS. Płotka, Krzysztof // Real Analysis Exchange;2008/2009, Vol. 34 Issue 1, p115 

    In this paper we present a discussion of the relations of the classes of Darboux-like functions within the classes of Hamel functions and Sierpiński-Zygmund Hamel functions. We prove that the inclusion relations among Darboux-like classes remain valid in both cases (under the assumption of...

  • PRODUCTS OF BAIRE ONE DOUBLE STAR FUNCTIONS. Łukasiewicz, Agnieszka; Maliszewski, Aleksander // Real Analysis Exchange;2011, Vol. 36 Issue 2, p269 

    We characterize products of Baire one double star functions.

  • ON THE SUMS OF TWO QUASI-CONTINUOUS FUNCTIONS WITH CLOSED GRAPHS. Poreda, Tadeusz; Poreda, Wiesława // Real Analysis Exchange;2010, Vol. 35 Issue 2, p413 

    In 2000 J. Borsík, J. Doboš, and M. Repický characterized sums of quasi-continuous functions with closed graphs. More precisely, they showed that such a sum must be Baire one star, and proved that each Baire one star function defined on a separable metric space which is Baire in the...

  • A CLASSIFICATION OF BAIRE ONE STAR FUNCTIONS. Malek, Agnieszka // Real Analysis Exchange;2006/2007, Vol. 32 Issue 1, p205 

    We present a new classification of Baire one star functions and examine sums of functions from the defined classes.

  • CONVERGENCE CLASSIFICATIONS OF BOREL FUNCTIONS ON GENERAL DESCRIPTIVE SETS. Rodionov, T. V.; Zakharov, V. K. // Real Analysis Exchange;Aug2007 Summer Symposium, Vol. 32, p147 

    For Borel functions on a perfect normal space and, respectively, on a perfect topological space there are two famous convergence Baire classifications: the first one is due to H. Lebesgue and F. Hausdorff and the second one is due to S. Banach. However, for an arbitrary topological space the...

  • THE DIRICHLET PROBLEM FOR BAIRE-TWO FUNCTIONS ON SIMPLICES. Spurný, jiří // Bulletin of the Australian Mathematical Society;Apr2009, Vol. 79 Issue 2, p285 

    We show that solvability of the abstract Dirichlet problem for Baire-two functions on a simplex X cannot be characterized by topological properties of the set of extreme points of X.

  • A SIMPLER PROOF FOR THE ϵ-δ CHARACTERIZATION OF BAIRE CLASS ONE FUNCTIONS. Fenecios, Jonald P.; Cabral, Emmanuel A. // Real Analysis Exchange;2014, Vol. 39 Issue 2, p441 

    We offer a new and simpler proof of a recent ϵ-δ characterization of Baire class one functions using a theorem by Henri Lebesgue. The proof is more elementary in the sense that it does not use the Baire Category Theorem. Furthermore, the proof requires only that the domain and range be...

  • COMPOSITE CONTINUOUS PATH SYSTEMS AND DIFFERENTIATION. Alikhani-Koopaei, Aliasghar // Real Analysis Exchange;2010, Vol. 35 Issue 1, p31 

    The concept of composite differentiation was introduced by O'Malley and Weil to generalize approximate differentiation. The concept of continuous path systems was introduced by us. This paper combines these concepts to introduce the notion of composite continuous path systems into...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics